GCD of 54, 216, 844, 388 Calculator

Given Input numbers are 54, 216, 844, 388

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 54, 216, 844, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 216, 844, 388 is 2.

Therefore, GCD of numbers 54, 216, 844, 388 is 2

Given Input Data is 54, 216, 844, 388

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 388 is 2 x 2 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(54, 216) = 216

GCD(54, 216) = ( 54 x 216 ) / 216

GCD(54, 216) = 11664 / 216

GCD(54, 216) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 844

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(54, 844) = 22788

GCD(54, 844) = ( 54 x 844 ) / 22788

GCD(54, 844) = 45576 / 22788

GCD(54, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 54, 216, 844, 388 is 2

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• GCD of 55, 709, 961, 938
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1. What is the GCD of 54, 216, 844, 388?

GCD of 54, 216, 844, 388 is 2

2. Where do I get the detailed procedure to find GCD of 54, 216, 844, 388?

You can find a detailed procedure to find GCD of 54, 216, 844, 388 on our page.

3. How to find GCD of 54, 216, 844, 388 on a calculator?

You can find the GCD of 54, 216, 844, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.